A KINETIC THEORETICAL INVESTIGATION OF A FULLY IONIZED GAS. PART I. PARADOXES IN THE B-B-GK-Y HIERARCHY.

Abstract

The study assumes that a constituent particle in an electron gas (or a fully ionized gas) interacts with more than one particle at the same time and that the mutual interactions among these particles are simultaneously significant. Using the hypothesis of equal a priori probabilities, the plausibility of customary methods considering the B-B-G-K-Y hierarchy for the basis of deriving kinetic equations for electron gases is studied. Conditions imposed upon the hierarchy do not seem consistent with the assumption set forth above. Main questions are raised regarding (1) the assumption of characteristic time scales and (2) the assumption that a set of multiple interactions are, in effect, equivalent to a superposition of binary interactions. The situation is similar regarding other theories advanced hitherto without being based on the hierarchy. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0460839

Entities

People

  • Toyoki Koga

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Charged Particles
  • Electron Gas
  • Electrons
  • Elementary Fermions
  • Elementary Particles
  • Equations
  • Fermions
  • Gases
  • Hierarchies
  • Ionized Gases
  • Leptons
  • Particles
  • Probability
  • Subatomic Particles

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics.
  • Systems Analysis and Design

Technology Areas

  • Microelectronics